Free Boundary Problems
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Free Boundary Problems And Regularity Theory
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Author : Harvey Drouelle
language : en
Publisher:
Release Date : 2025-08-25
Free Boundary Problems And Regularity Theory written by Harvey Drouelle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-25 with Mathematics categories.
Free boundary problems are a category of mathematical problems characterised by the determination of both the solution to a partial differential equation and the dynamic boundary where the solution is defined. These problems are prevalent in various scientific and engineering contexts, including fluid dynamics, materials science and biological growth processes, where the boundary conditions are not predetermined but instead form part of the solution itself. Regularity theory examines the smoothness and structural properties of the solutions and their boundaries. Regularity results are essential for ensuring that solutions to free boundary problems are not only mathematically robust but also physically realistic. Free boundary problems and regularity theory are fundamental in fields requiring precise modelling of dynamic interfaces, thereby enhancing the predictive accuracy of scientific and engineering models. This book presents the complex subject of mathematical analysis in the most comprehensible and easy to understand language. While understanding the long-term perspectives of the topics, the book makes an effort in highlighting their impact as a modern tool for the growth of the discipline. Through this book, we attempt to further enlighten the readers about the new concepts in this field.
Free Boundary Problems
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Author : Isabel Narra Figueiredo
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-11
Free Boundary Problems written by Isabel Narra Figueiredo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-11 with Mathematics categories.
This book collects refereed lectures and communications presented at the Free Boundary Problems Conference (FBP2005). These discuss the mathematics of a broad class of models and problems involving nonlinear partial differential equations arising in physics, engineering, biology and finance. Among other topics, the talks considered free boundary problems in biomedicine, in porous media, in thermodynamic modeling, in fluid mechanics, in image processing, in financial mathematics or in computations for inter-scale problems.
Free Boundary Problems
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Author : Pierluigi Colli
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Free Boundary Problems written by Pierluigi Colli and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary". A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.
Free Boundary Problems
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Author : Ioannis Athanasopoulos
language : en
Publisher: Routledge
Release Date : 2019-11-11
Free Boundary Problems written by Ioannis Athanasopoulos and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-11 with Mathematics categories.
Free boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable research over the last three decades. Free Boundary Problems: Theory and Applications presents the work and results of experts at the forefront of current research in mathematics, material sciences, chemical engineering, biology, and physics. It contains the plenary lectures and contributed papers of the 1997 International Interdisciplinary Congress proceedings held in Crete. The main topics addressed include free boundary problems in fluid and solid mechanics, combustion, the theory of filtration, and glaciology. Contributors also discuss material science modeling, recent mathematical developments, and numerical analysis advances within their presentations of more specific topics, such as singularities of interfaces, cusp cavitation and fracture, capillary fluid dynamics of film coating, dynamics of surface growth, phase transition kinetics, and phase field models. With the implications of free boundary problems so far reaching, it becomes important for researchers from all of these fields to stay abreast of new developments. Free Boundary Problems: Theory and Applications provides the opportunity to do just that, presenting recent advances from more than 50 researchers at the frontiers of science, mathematics, and technology.
Free Boundary Problems
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Author : Antonio Fasano
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1983
Free Boundary Problems written by Antonio Fasano and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
Emerging Applications In Free Boundary Problems
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Author : J M Chadam
language : en
Publisher: CRC Press
Release Date : 1993-02-22
Emerging Applications In Free Boundary Problems written by J M Chadam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-22 with Mathematics categories.
This Research Note presents a collection of papers on emerging applications in free boundary problems. The subjects covered include microgravity, chemical and biological reactions, and electromagnetism and electronics.
Free Boundary Problems
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Author : Pierluigi Colli
language : en
Publisher: Birkhauser
Release Date : 2004
Free Boundary Problems written by Pierluigi Colli and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary." A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.
Free Boundary Problems
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Author : Alain Bossavit
language : en
Publisher:
Release Date : 1985
Free Boundary Problems written by Alain Bossavit and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Free Boundary Problems Theory And Applications
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Author : Marek Niezgodka
language : en
Publisher: CRC Press
Release Date : 1996-11-25
Free Boundary Problems Theory And Applications written by Marek Niezgodka and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-25 with Mathematics categories.
Addressing various aspects of nonlinear partial differential equations, this volume contains papers and lectures presented at the Congress on Free boundary Problems, Theory and Application held in Zakopane, Poland in 1995. Topics include existence, uniqueness, asymptotic behavior, and regularity of solutions and interfaces.
Free Boundary Problems Involving Solids
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Author : J M Chadam
language : en
Publisher: CRC Press
Release Date : 1993-02-22
Free Boundary Problems Involving Solids written by J M Chadam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-22 with Mathematics categories.
This is the second of three volumes containing the proceedings of the International Colloquium 'Free Boundary Problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main theme of this volume is the concept of free boundary problems associated with solids. The first free boundary problem, the freezing of water - the Stefan problem - is the prototype of solidification problems which form the main part of this volume. The two sections treting this subject cover a large variety of topics and procedures, ranging from a theoretical mathematical treatment of solvability to numerical procedures for practical problems. Some new and interesting problems in solid mechanics are discussed in the first section while in the last section the important new subject of solid-solid-phase transition is examined.